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Finding the Fourth Proportional to 278.19, 415.58 and 213.17

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Solution

The fourth proportional to 278.19, 415.58 and 213.17 is: 318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 415.58 = 213.17 : x
  2. Step 2: Convert to fraction form
    278.19/415.58 = 213.17/x
  3. Step 3: Cross multiply
    278.19x = 415.58 × 213.17
  4. Step 4: Simplify right side
    278.19x = 88,586.04
  5. Step 5: Solve for x
    x = 88,586.04/278.19
  6. Step 6: Final answer
    x = 318.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.